A function f , from the set of natural numbers to integers, defined by f(n) = array l n-1…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
A function \(\text { f }\), from the set of natural numbers to integers, defined by
\(f(n)\) = \[\left\{\begin{array}{l} \frac{n-1}{2}, \text { when } n \text { is odd } \\ -\frac{n}{2}, \text { when } n \text { is even } \end{array}\right.\], is
- One-one but not onto
- Onto but not one-one
- One-one and onto both
- Neither one-one nor onto
Answer
(C) One-one and onto both
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